Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D83 |
| Fitting | #344×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#344×D83, #35401859, #1757×D83, … |
| maximal normal subgroup of | C2×#344×D83, #35401859, #1757×D83, … |
| maximal quotient of | #1281×D83, #35294033, #35294036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4250);